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Note on the solvability of equations involving unbounded linear and quasibounded nonlinear operators

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Publication:1235896
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DOI10.1016/0022-247X(76)90021-4zbMath0352.47029MaRDI QIDQ1235896

W. V. Petryshyn

Publication date: 1976

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Equations and inequalities involving linear operators, with vector unknowns (47A50)


Related Items (3)

Fredholm theory for abstract and differential equations with noncompact nonlinear perturbations of Fredholm maps ⋮ Condensing operators ⋮ Unnamed Item



Cites Work

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  • Perturbation theory for nullity, deficiency and other quantities of linear operators
  • The fixed point index for local condensing maps
  • Remarks on condensing and \(k\)-set-contractive mappings
  • Fixed Point Theorems for Various Classes of 1-Set-Contractive and 1-Ball- Contractive Mappings in Banach Space
  • Completely Well-Posed Problems for Nonlinear Differential Equations


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